- Sampling distributions.
- Exponential families.
- Sufficiency and completeness.
- Estimation: maximum likelihood, method of moments, unbiasedness, efficiency, consistency.
- Bayes estimators.
- Interval estimation.
- Hypothesis testing: basic framework, UMP tests, likelihood ratio tests.
References
- Bickel and Doksum, Mathematical Statistics
- Mood, Graybill and Boes, Introduction to the Theory of Statistics
- Arnold, Mathematical Statistics
- Casella and Berger, Statistical Inference
- DeGroot, Probability and Statistics, 2nd ed.